Unfortunately, it's pretty hard to avoid the 737 for a lot of routes because it's so ubiquitous. Also, most of them were engineered and built before the current management, and have proven themselves with a good safety record so far, so they really should be OK. It's the new MAX model you really want to avoid, and it's probably a good idea to avoid the 787 as well.
1. It was created during the current management era.
2. It was built in South Carolina at a new plant that had huge production issues, such as leaving metal shavings inside the airplanes where they would get into wiring harnesses.
Let's not forget the exploding batteries which were fixed by putting a metal container around them and a hole in the hull, so when they inevitably explode again, they'll at least vent outside.
It'd be okay with that shit on a bus. Not on a plane in the middle over the Pacific. How the 787 got it's ETOPS rating is beyond me.
(actually it isn't. We have all witnessed how corrupt the FAA is by outsourcing it's own job to Boeing itself - the equivalent of a professor outsourcing paper grading to students themselves).
Perhaps not the best strategy. Excluding the MAX, the 737 has been around long enough, with enough incremental improvements, that the safety record is quite good.
Sometimes, when voting with your wallet, you don't only go for the best choice, but express lack of support for some amoral piece of sh*t behavior of competition. That's how all the boycotts of various brands/businesses happens, even if their products are fine otherwise.